On the smoothness of convex envelopes
Authors:
A. Griewank and P. J. Rabier
Journal:
Trans. Amer. Math. Soc. 322 (1990), 691-709
MSC:
Primary 49J52; Secondary 90C30
DOI:
https://doi.org/10.1090/S0002-9947-1990-0986024-2
MathSciNet review:
986024
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Abstract | References | Similar Articles | Additional Information
Abstract: We examine differentiability properties of the convex envelope of a given function
in terms of properties of
. It is shown that
as well as optimal
regularity results,
, can be obtained under general conditions.
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9947-1990-0986024-2
Article copyright:
© Copyright 1990
American Mathematical Society